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Finding the Third Proportional to 2,335.50 and 5,172.19

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Solution

The third proportional to 2,335.50 and 5,172.19 is: 11,454.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,335.50 : 5,172.19 = 5,172.19 : x
  2. Step 2: Convert to fraction form
    2,335.50/5,172.19 = 5,172.19/x
  3. Step 3: Cross multiply
    2,335.50x = 5,172.19 × 5,172.19
  4. Step 4: Simplify right side
    2,335.50x = 26,751,523.54
  5. Step 5: Solve for x
    x = 26,751,523.54/2,335.50
  6. Step 6: Final answer
    x = 11,454.30

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.